The settling time of a control system is defined as the time taken to:

The correct answer is C: Settle within ±2% of final value (or ±5% for some standards). Settling time is the time required for the transient to decay and response to remain within 2% (or 5%) of the steady-state value.

The swing equation of a synchronous machine is given by: 2H(d²δ/dt²) = Pm - Pe - D(dδ/dt). What does H represent?

The correct answer is A: Normalized inertia constant in seconds. H is the inertia constant (M/2×SB) representing the kinetic energy relative to the system base power.

For a second-order system with natural frequency ωn = 5 rad/s and ζ = 0.7, the peak time tp is approximately:

The correct answer is B: 0.63 seconds. tp = π/(ωn√(1-ζ²)) = π/(5√(1-0.49)) = π/(5×0.714) ≈ 0.88 seconds ≈ 0.89 seconds. Closest answer is B.

What is the primary cause of voltage instability in a power system?

The correct answer is A: Excessive reactive power demand exceeding supply capacity. Voltage instability occurs when reactive power demand cannot be met, causing voltage collapse, particularly at weak points in the grid.

The Boolean expression A·B + A·B' can be simplified to:

The correct answer is A: A. A·B + A·B' = A(B + B') = A·1 = A (using factoring and complement law)

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Electrical Engg (EEE)

Electrical machines, power systems, circuits

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Difficulty: All Easy Medium Hard 81–90 of 196

Topics in Electrical Engg (EEE)

All Circuit Analysis 100 Electrical Machines 100 Power Systems 100 Control Systems 100 Power Electronics 100 Electrical Measurements 40 Digital Electronics 100

Q.81 Easy Control Systems

Which of the following is a characteristic of a lag compensator?

A Increases system bandwidth

B Improves steady-state accuracy

C Increases system speed

D Reduces overshoot significantly

Correct Answer: B. Improves steady-state accuracy

EXPLANATION

Lag compensator reduces steady-state error by increasing the DC gain without significantly affecting transient response or stability margins.

Test

Q.82 Easy Control Systems

A second-order system has damping ratio ζ = 0.5. This system is classified as:

A Critically damped

B Underdamped

C Overdamped

D Unstable

Correct Answer: B. Underdamped

EXPLANATION

For ζ < 1, the system is underdamped with oscillatory response. ζ = 0.5 falls in this category.

Test

Q.83 Easy Control Systems

In a Bode plot, the magnitude plot slope in dB/decade for a pole at origin is:

A -20 dB/decade

B -40 dB/decade

C +20 dB/decade

D +40 dB/decade

Correct Answer: A. -20 dB/decade

EXPLANATION

Each pole contributes -20 dB/decade slope. A single pole at origin contributes -20 dB/decade.

Test

Q.84 Easy Control Systems

A control system has an open-loop transfer function G(s)H(s) = K/[s(s+2)(s+4)]. What is the type of this system?

A Type 0

B Type 1

C Type 2

D Type 3

Correct Answer: B. Type 1

EXPLANATION

The type of a system is determined by the number of poles at origin. Here, there is one pole at origin (s term), making it Type 1.

Test

Q.85 Easy Control Systems

A system with characteristic equation s³ + 6s² + 11s + 6 = 0 has poles at:

A -1, -2, -3

B -1, -2, -4

C -1, -3, -4

D -2, -2, -3

Correct Answer: A. -1, -2, -3

EXPLANATION

Factoring: (s+1)(s+2)(s+3) = 0 gives poles at s = -1, -2, -3. All in LHP, so system is stable

Test

Q.86 Easy Control Systems

The corner frequency of a transfer function H(s) = 1/(1 + s/10) occurs at:

A 1 rad/s

B 10 rad/s

C 0.1 rad/s

D 100 rad/s

Correct Answer: B. 10 rad/s

EXPLANATION

Corner frequency = pole frequency. Rewriting: H(s) = 10/(s+10), so pole at -10, corner frequency = 10 rad/s

Test

Q.87 Easy Control Systems

The static error constant for a Type-1 system with G(s) = 20/(s(s+5)(s+10)) is:

A 0.4

B 0.2

C 2.0

D 4.0

Correct Answer: A. 0.4

EXPLANATION

For Type-1 system, Kv = lim s→0 s·G(s) = 20/(5·10) = 20/50 = 0.4

Test

Q.88 Easy Control Systems

What is the bandwidth of a first-order system with time constant τ = 0.1 seconds?

A 10 rad/s

B 100 rad/s

C 0.1 rad/s

D 1 rad/s

Correct Answer: A. 10 rad/s

EXPLANATION

For first-order system, bandwidth ωBW = 1/τ = 1/0.1 = 10 rad/s (where -3dB occurs)

Test

Q.89 Easy Control Systems

In the root locus of a system with open-loop transfer function G(s)H(s) = K(s+2)/(s(s+1)(s+3)), how many branches exist?

A 2

B 3

C 4

D 5

Correct Answer: B. 3

EXPLANATION

Number of root locus branches = max(number of poles, number of zeros) = max(3, 1) = 3

Test

Q.90 Easy Control Systems

Which of the following transfer functions represents a Type-2 system?

A G(s) = 5(s+1)/(s²(s+3))

B G(s) = 10/(s(s+2)(s+5))

C G(s) = 2(s+1)/(s+2)(s+4)

D G(s) = 15(s+0.5)/(s³(s+1))

Correct Answer: A. G(s) = 5(s+1)/(s²(s+3))

EXPLANATION

Type of system is determined by the number of poles at origin. Option A has s² in denominator, making it Type-2

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